Essentials of Statistics, Books a la Carte Edition (5th Edition)

5th Edition

ISBN: 9780321926739

Author: Mario F. Triola

Publisher: PEARSON

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Chapter 9.3, Problem 7BSC

In Exercises 5-20, assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Do the following:

a. Test the given claim using the P-value method or critical value method.
b. Construct a confidence interval suitable for test the given claim.

7. Magnet Treatment of Pain People spend around $5 billion annually for the purchase of magnets used to treat a wide variety of pains. Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results given below are among the results obtained in the study (based on data from “Bipolar Permanent Magnets for the Treatment of Chronic Lower Back Pain: A Pilot Study,” by Collacott, Zimmerman, White, and Rindone, Journal of the American Medical Association, Vol. 283, No. 10). Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). Does it appear that magnets are effective in treating back pain? Is it valid to argue that magnets might appear to be effective if the sample sizes are larger?

Reduction in Pain Level After Magnet Treatment: n = 20. x ¯ = 0.49. s = 0.96

Reduction in Pain Level After Sham Treatment: n = 20, x ¯ = 0.44, s = 1.4

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 9.3, Problem 6BSC

Chapter 9.3, Problem 8BSC

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Chapter 9 Solutions

Essentials of Statistics, Books a la Carte Edition (5th Edition)

Ch. 9.2 - Verifying Requirements In the largest clinical...Ch. 9.2 - Verifying Requirements In the largest clinical...Ch. 9.2 - Hypotheses and Conclusions Refer to the hypothesis...Ch. 9.2 - Using Confidence Intervals a. Assume that we want...Ch. 9.2 - Interpreting Displays. In Exercises 5 and 6, use...Ch. 9.2 - Interpreting Displays. In Exercises 5 and 6, use...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Prob. 8BSC Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Testing Claims About Proportions. In Exercises...

Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Prob. 12BSC Ch. 9.2 - Tennis Challenges Since the Hawk-Eye instant...Ch. 9.2 - Police Gunfire In a study of police gunfire...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Testing Claims About Proportions. In Exercises...Ch. 9.2 - Marathon Finishers In a recent New York City...Ch. 9.2 - Overlap of Confidence Intervals In the article On...Ch. 9.2 - Equivalence of Hypothesis Test and Confidence...Ch. 9.2 - Determining Sample Size The sample size needed to...Ch. 9.3 - Independent and Dependent Samples Which of the...Ch. 9.3 - Interpreting Confidence Intervals If the heights...Ch. 9.3 - Interpreting Confidence Intervals What does the...Ch. 9.3 - Hypothesis Tests and Confidence Intervals a. In...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 6BSC Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 8BSC Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 10BSC Ch. 9.3 - Prob. 11BSC Ch. 9.3 - Prob. 12BSC Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - In Exercises 5-20, assume that the two samples are...Ch. 9.3 - Prob. 21BSC Ch. 9.3 - Large Data Sets. In Exercises 21-24, use the...Ch. 9.3 - Large Data Sets. In Exercises 21-24, use the...Ch. 9.3 - Large Data Sets. In Exercises 21-24, use the...Ch. 9.3 - Prob. 25BB Ch. 9.3 - Pooling. In Exercises 25 and 26, assume that the...Ch. 9.3 - Prob. 27BB Ch. 9.3 - Prob. 28BB Ch. 9.3 - Prob. 29BB Ch. 9.4 - True Statements? For the methods of this section,...Ch. 9.4 - Prob. 2BSC Ch. 9.4 - Prob. 3BSC Ch. 9.4 - Confidence Intervals If we use the sample data in...Ch. 9.4 - Prob. 5BSC Ch. 9.4 - Prob. 6BSC Ch. 9.4 - Calculations with Paired Sample Data. In Exercises...Ch. 9.4 - Prob. 8BSC Ch. 9.4 - Prob. 9BSC Ch. 9.4 - Prob. 10BSC Ch. 9.4 - Prob. 11BSC Ch. 9.4 - Prob. 12BSC Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 516, use the listed paired sample...Ch. 9.4 - Prob. 16BSC Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - In Exercises 920, assume that the paired sample...Ch. 9.4 - Prob. 21BSC Ch. 9.4 - Prob. 22BSC Ch. 9.4 - Prob. 23BSC Ch. 9.4 - Prob. 24BSC Ch. 9.4 - Prob. 25BB Ch. 9 - In Exercises 1-4, use the following surrey...Ch. 9 - In Exercises 1-4, use the following surrey...Ch. 9 - In Exercises 1-4, use the following surrey...Ch. 9 - In Exercises 1-4, use the following survey...Ch. 9 - Listed below are the costs (in dollars) of...Ch. 9 - Prob. 6CQQ Ch. 9 - Prob. 7CQQ Ch. 9 - Prob. 8CQQ Ch. 9 - Prob. 9CQQ Ch. 9 - Prob. 10CQQ Ch. 9 - Prob. 1RE Ch. 9 - Prob. 2RE Ch. 9 - Airbags Save Lives In a study of the effectiveness...Ch. 9 - Are Flights Cheaper When Scheduled Earlier? Listed...Ch. 9 - Self-Reported and Measured Female Heights As part...Ch. 9 - Eyewitness Accuracy of Police Does stress affect...Ch. 9 - Prob. 7RE Ch. 9 - Effect of Blinding Among 13,200 submitted...Ch. 9 - Comparing Means The baseline characteristics of...Ch. 9 - Comparing Variation Use the sample data from...Ch. 9 - Heights of Mothers and Daughters. In Exercises...Ch. 9 - Prob. 2CRE Ch. 9 - Prob. 3CRE Ch. 9 - Heights of Mothers and Daughters. In Exercises...Ch. 9 - Prob. 5CRE Ch. 9 - Dark Survey In a survey of 1032 Americans,...Ch. 9 - Backup Generator The USA Today web site posted...Ch. 9 - Juke Survey Late-night talk show host David...Ch. 9 - Normal Distribution Based on the measurements in...Ch. 9 - Prob. 10CRE Ch. 9 - Prob. 1FDD Ch. 9 - Critical Thinking: Ages of workers killed in the...Ch. 9 - Critical Thinking: Ages of workers killed in the...Ch. 9 - Prob. 4FDD Ch. 9 - Prob. 5FDD Ch. 9 - Prob. 6FDD

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Solution Summary: The author concludes that there is no sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given sham treatment.

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